5,006,090

2 × 5 × 269 × 1861

Starting at 5,006,090, the Collatz iteration reaches 1 after 82 steps. The first transition is 2503045; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 269 × 1861

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,049,320

Proper Divisor Sum 4,043,230

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #5006083 ← → #5006119

Radix Representation

Decimal	5006090
Binary	10011000110001100001010 (23 bits)
Octal	0o23061412
Hexadecimal	0x4C630A

Divisor Catalog (16)

1 2 5 10 269 538 1,345 1,861 2,690 3,722 9,305 18,610 500,609 1,001,218 2,503,045 5,006,090

Collatz Trajectory (82 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,006,090 2,503,045 7,509,136 3,754,568 1,877,284 938,642 469,321 1,407,964 703,982 351,991 1,055,974 527,987 1,583,962 791,981 2,375,944 1,187,972 593,986 296,993 890,980 445,490 222,745 668,236 334,118 167,059 501,178 250,589 751,768 375,884 187,942 93,971 281,914 140,957 422,872 211,436 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148

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